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Finding the Third Proportional to 34.80 and 82.11

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Solution

The third proportional to 34.80 and 82.11 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.80 : 82.11 = 82.11 : x
  2. Step 2: Convert to fraction form
    34.80/82.11 = 82.11/x
  3. Step 3: Cross multiply
    34.80x = 82.11 × 82.11
  4. Step 4: Simplify right side
    34.80x = 6,741.63
  5. Step 5: Solve for x
    x = 6,741.63/34.80
  6. Step 6: Final answer
    x = 193.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.